A new family of Castle and Frobenius nonclassical curves

DOI10.1016/j.jpaa.2017.06.002zbMath1432.14028OpenAlexW2625385237MaRDI QIDQ1678285

Herivelto Borges, Ricardo P. Conceição

Publication date: 14 November 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.06.002

zbMATH Keywords

rational pointsCastle curvesFrobenius curves

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Polynomials over finite fields (11T06)

Related Items (2)

On the Dickson-Guralnick-Zieve curve ⋮ Minimal value set polynomials over fields of size 𝑝³

Uses Software

• manYPoints

Cites Work

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• Algebraic Geometry Codes from Castle Curves
• Weierstrass Points and Curves Over Finite Fields
• The minimum distance of codes in an array coming from telescopic semigroups
• Quotient curves of the Suzuki curve

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